468162744 has 128 divisors (see below), whose sum is σ = 1390202880. Its totient is φ = 128563200.

The previous prime is 468162719. The next prime is 468162763. The reversal of 468162744 is 447261864.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 468162696 and 468162705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1254942 + ... + 1255314.

It is an arithmetic number, because the mean of its divisors is an integer number (10860960).

Almost surely, 2^468162744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468162744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695101440).

468162744 is an abundant number, since it is smaller than the sum of its proper divisors (922040136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468162744 is a wasteful number, since it uses less digits than its factorization.

468162744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 657 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 468162744 is about 21637.0687478688. The cubic root of 468162744 is about 776.4835925359.

The spelling of 468162744 in words is "four hundred sixty-eight million, one hundred sixty-two thousand, seven hundred forty-four".